Question

To measure the satisfaction of their customers Ali Baba restaurant sends out 1000 surveys to their customers. Out of the 823 surveys that were returned, 635 people said they were satisfied with the restaurant. Calculate LaTeX: \hat{p}p ^ for those that were satisfied?

Answer 1

Answer:

Th proportion of satisfied customers is

$\hat{p}=0.77$

Step-by-step explanation:

Although 1,000 surveys were send, we may consider our sample is only made by the 823 surveys returned.

Out of the returned surveys (n=823), 635 people said they were satisfied with the restaurant.

Then, the p-hat (proportion of satisfied people) of this sample is calculated as:

$\hat{p}=x/N=635/823=0.77$

If we consider as the sample size all the surveys sent, and assuming the surveys not returned belong to non-satisfied customers, the proportion of satisfied clients is:

$\hat{p}=x/N=635/1,000=0.64$